cp's OEIS Frontend

A188463 Coefficient array of the second column of the inverse of the Riordan array ((1+(r+1)x)/(1+(r+2)x+rx^2), x/(1+(r+2)x+rx^2)).

%I A188463 #8 Nov 13 2021 05:49:54
%S A188463 1,3,1,7,7,1,15,30,12,1,31,103,79,18,1,63,312,387,166,25,1,127,873,
%T A188463 1586,1085,305,33,1,255,2314,5768,5719,2545,512,42,1,511,5899,19261,
%U A188463 25994,16661,5285,805,52,1,1023,14604,60337,106009,92008,41881,10038,1204,63,1
%N A188463 Coefficient array of the second column of the inverse of the Riordan array ((1+(r+1)x)/(1+(r+2)x+rx^2), x/(1+(r+2)x+rx^2)).
%C A188463 First column is A000225. Row sums are A128714(n+2). Diagonal sums are A188464.
%F A188463 G.f.: ((x-1)*sqrt(x^2*(y^2+4)-2*x*(y+2)+1)+x^2*(2-y)-x*(y+3)+1)/(2*x^3*y*(1+y-x)).
%e A188463 Triangle begins
%e A188463 1,
%e A188463 3, 1,
%e A188463 7, 7, 1,
%e A188463 15, 30, 12, 1,
%e A188463 31, 103, 79, 18, 1,
%e A188463 63, 312, 387, 166, 25, 1,
%e A188463 127, 873, 1586, 1085, 305, 33, 1,
%e A188463 255, 2314, 5768, 5719, 2545, 512, 42, 1,
%e A188463 511, 5899, 19261, 25994, 16661, 5285, 805, 52, 1
%Y A188463 Cf. A119308.
%K A188463 nonn,tabl,easy
%O A188463 0,2
%A A188463 _Paul Barry_, Apr 01 2011